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InvisibleKrishna
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mathematical paradox
    #5465986 - 04/01/06 12:27 AM (17 years, 9 months ago)

3 people go into a hotel. the sign says 10$/person/night, so they each pull out 10 1$ bills, and proceed to the counter. after giving 30$ (10X3) to the proprieter, he says to the three, "i've got a deal, one room for 3 for 25$". of course, they take the deal, and now have $5 in change to spread out. being three people, they decide to take 1$ each, and give the manager 2$ as a tip. so, they paid 10$ each, and received 1$ back each, thus they paid 9$/person. plus the 2$ tip, makes 9X3=27+2=29. Where did the last dollar go?


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OfflineTriad
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Re: mathematical paradox [Re: Krishna]
    #5465997 - 04/01/06 12:31 AM (17 years, 9 months ago)

They all didn't pay equal amounts if it was $25, they paid $8.33 + $1.00 each. so $9.33 each.


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InvisibleKrishna
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Re: mathematical paradox [Re: Triad]
    #5466001 - 04/01/06 12:32 AM (17 years, 9 months ago)

yes, from that perspective it works. but if you look at it as they each paid 10$, then got 1$ back each (plus the 2$ tip) - then they paid 10-1=9$ each + 2 = 29$!


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OfflineTriad
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Re: mathematical paradox [Re: Triad]
    #5466009 - 04/01/06 12:34 AM (17 years, 9 months ago)

Is this proven to be a paradox, or should I keep trying to find a way around it :laugh:


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InvisibleNoetical
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Registered: 11/28/04
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Re: mathematical paradox [Re: Krishna]
    #5466011 - 04/01/06 12:35 AM (17 years, 9 months ago)

Stop abusing math!


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Invisibleknowhereman
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Re: mathematical paradox [Re: Krishna]
    #5466012 - 04/01/06 12:35 AM (17 years, 9 months ago)

After the deal they DIDN'T end up paying $9 each..cause if they did they would pay the room for three for $27 and not for the $25 the manager offered.

Technically if they split the $25 with eachother they'd each pay about $8.33, but they didn't split the $25 dollars..they decided to slpit the $5 change.

$1 dollar for each 5-3= 2 the $2 left tips the manager. there is no "last dollar" left.


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Everybody HA HA!


Edited by knowhereman (04/01/06 12:36 AM)


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InvisibleKrishna
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Re: mathematical paradox [Re: Triad]
    #5466013 - 04/01/06 12:35 AM (17 years, 9 months ago)

it can be resolved, mathematically, using set-theory. but in terms of normal arithmetic, it stays as a paradox. it just depends on the wording of the whole exchange - as you expalained it, it equals out to 30$, but as i did, a dollar is missing


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InvisibleNoetical
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Re: mathematical paradox [Re: Krishna]
    #5466015 - 04/01/06 12:37 AM (17 years, 9 months ago)

You've been listening to that crazy mystic logic to much in S&P


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OfflineNickSoapdish
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Re: mathematical paradox [Re: Krishna]
    #5466016 - 04/01/06 12:37 AM (17 years, 9 months ago)

???

But they didnt pay $9 each, it was $25 total, so they each paid $8.33 (3x8.33 = 25) like triad said, then two of them gave a dollar to the manager (25 + 2 = 27), then had 3 dollars left amongst the three of them, or a dollar a piece. It makes sense.

Edit: much too late with that one I see


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Edited by NickSoapdish (04/01/06 12:39 AM)


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InvisibleKrishna
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Re: mathematical paradox [Re: knowhereman]
    #5466017 - 04/01/06 12:37 AM (17 years, 9 months ago)

the manager offered 25$, so 5$ change. to split this up, they took one each, and gave him 2 as a tip. so, looking at the final exchange - they paid 10$ each. they got 1$ back, each. so they paid 9$ each. the manager got 2$ in tip. only 29!


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InvisibleNoetical
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Re: mathematical paradox [Re: knowhereman]
    #5466025 - 04/01/06 12:40 AM (17 years, 9 months ago)

In highschool one time for English we had to do a video assignment about and are narrator wore a trench coat and old school hat and whenever he would talk we had nowhereman playing in the background.


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InvisibleCowgold
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Re: mathematical paradox [Re: Krishna]
    #5466027 - 04/01/06 12:40 AM (17 years, 9 months ago)

$25 for the room $2 to the manager. $25+$2= $27

$27 for the room plus $1 for each dude... $3. $27 + $3 = $30


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OfflineTriad
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Re: mathematical paradox [Re: Triad]
    #5466028 - 04/01/06 12:41 AM (17 years, 9 months ago)

The only problem is that it's not possible they all paid equal amounts.


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InvisibleKrishna
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Re: mathematical paradox [Re: Noetical]
    #5466029 - 04/01/06 12:41 AM (17 years, 9 months ago)

:thumbup:


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InvisibleCowgold
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Re: mathematical paradox [Re: Cowgold]
    #5466033 - 04/01/06 12:42 AM (17 years, 9 months ago)

Quote:

Brandon said:


Edit: much too late with that one I see




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InvisibleNoetical
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Re: mathematical paradox [Re: Krishna]
    #5466035 - 04/01/06 12:42 AM (17 years, 9 months ago)

You make baby jesus cry when you don't adhere to the laws of mathematics


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InvisibleStonerguy
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Re: mathematical paradox [Re: Krishna]
    #5466039 - 04/01/06 12:42 AM (17 years, 9 months ago)

You don't use the 2.... They paid that after the discount so you use each get 1 dollar adds up to 30


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InvisibleCowgold
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Re: mathematical paradox [Re: Stonerguy]
    #5466046 - 04/01/06 12:45 AM (17 years, 9 months ago)

:thumbup:


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InvisibleKrishna
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Re: mathematical paradox [Re: Cowgold]
    #5466047 - 04/01/06 12:45 AM (17 years, 9 months ago)

yes but, 30 for the room - 5 (to make it 25 for the room) + 3 for each person - so each person is now paying 10-1 + 2 for the manager = 29!


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InvisibleLakefingers

Registered: 08/26/05
Posts: 6,440
Loc: mumuland
Re: mathematical paradox [Re: Krishna]
    #5466049 - 04/01/06 12:46 AM (17 years, 9 months ago)

I agree with what Triad wrote.

The reasoning of the argument is faulty:

Quote:

कृष्ण,LOL said:
so, they paid 10$ each, thus they paid 9$/person
... makes 9X3=27+2=29




They paid $30 as a whole ($10 each). Each individual was given a refund of $1. The whole gave away $2. As a whole they kept $25. There is nothing in the argument that states how they divided up the $25 they paid for the night. Given the background story its reasonable to assume they'd split it equally ($8.33.../each); but given the background info they could just as well divide it unequally. Either way it doesn't matter.

This seems to be a paradox because the narrator flips between assigning certain properties to a group and then to individuals so that the reader confuses these sets (group [the three]/individuals [each one of the group]).



Quote:


Where did the last dollar go?





If you pay 30 bucks a night where you're allowed to have three people in the room you're staying at a seedy hotel. Obviously the proprieter stole the last dollar.


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